What is (5n^2m^4)(3n^3m^{11}) ?

The solution to (5n^2m^4)(3n^3m^{11}) is 15n^5m^{15}

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simplify (5n^2m^4)(3n^3m^{11})

simplify

(5 n^{2} m^{4}) (3 n^{3} m^{11})

15 n^{5} m^{15}

Solution steps

(5 n^{2} m^{4}) (3 n^{3} m^{11})

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

n^{2} n^{3} = n^{2 + 3}

= 5 m^{4} \cdot 3 n^{2 + 3} m^{11}

Add the numbers:

2 + 3 = 5

= 5 m^{4} \cdot 3 n^{5} m^{11}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

m^{4} m^{11} = m^{4 + 11}

= 5 \cdot 3 n^{5} m^{4 + 11}

Add the numbers:

4 + 11 = 15

= 5 \cdot 3 n^{5} m^{15}

Multiply the numbers:

5 \cdot 3 = 15

= 15 n^{5} m^{15}

1.62 \cdot 1 0^{- 13}

(3.2 x 1 0^{- 19}) (9.6 x 1 0^{5})

(x - 2)^{2} (x - 3)^{2} (x + 5)

1021 (1 0^{- 4}) e^{- 0.001 (200)}

What is (5n^2m^4)(3n^3m^{11}) ?
The solution to (5n^2m^4)(3n^3m^{11}) is 15n^5m^{15}